Regularity of components in optimal design problems with perimeter penalization
Calculus of Variations and Partial Differential Equations, 2003The paper deals with optimal design problems of the form first considered in [\((*)\) \textit{L. Ambrosio} and \textit{G. Buttazzo}, Calc. Var. Paratial Differ. Equa. 1, No. 1, 55--69 (1993; Zbl 0794.49040)]. More precisely, the energy \[ E(u,A)= \int_\Omega \sigma_A|\nabla u|^2 dx+ \int_\Omega fu\,dx+ \text{Per}_\Omega(A)+ C|A| \] is considered, where
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Optimization of professional training of penal system employees as a pedagogical problem
All-Russian Scientific and Practical Journal of Social and Humanitarian Research, 2023В настоящее время происходит реформирование системы образования, в ходе которого осуществляется стандартизация обучения и актуализация практико-ориентированного подхода в подготовке специалистов. В статье рассмотрена проблема оптимизации профессионального обучения сотрудников в условиях развития и реформирования пенитенциарной системы.
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Level-set, penalization and cartesian meshes: A paradigm for inverse problems and optimal design
Journal of Computational Physics, 2009zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Bruneau, Charles-Henri +3 more
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Error estimates for mixed and hybrid FEM for elliptic optimal control problems with penalizations
Advances in Computational Mathematics, 2022zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Method of penalization for the state equation for an elliptical optimal control problem
Russian Mathematics, 2015zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Lapin A., Zalyalov D.
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A Penalization Method for Optimal Control of Elliptic Problems with State Constraints
SIAM Journal on Control and Optimization, 1992This paper studies control problems for elliptic systems. A typical examples is to minimize the functional \(J(y,u)=\frac12\| y- z\|^ 2_ 2+\frac12\| u\|^2_2\) for some \(z\) in \(L^2(\Omega)\), over all \(u\) in some admissible subset of \(L^2(\Omega)\) and \(y\) in a convex subset of \(L^2(\Omega)\) with \(y\) determined from \(u\) by the boundary ...
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The author studies state constrained optimal control problems with parabolic evolution equations. Optimality conditions are derived where the state and control expressions have been decoupled. The approach used is to consider a family of problems where deviation of the dynamics from feasibility is penalized through a parameter \(\varepsilon ...
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Optimal transport problems with gradient penalization
Problèmes de transport optimal avec pénalisation en gradient Le problème du transport optimal, originellement introduit par Monge au 18ème siècle, consiste à minimiser l'énergie nécessaire au déplacement d'une masse dont la répartition est donnée vers une autre masse dont la répartition est elle aussi donnée; mathématiquement, cela se ...openaire +1 more source
Optimization of expensive black-box problems with penalized expected improvement
Computer Methods in Applied Mechanics and EngineeringzbMATH Open Web Interface contents unavailable due to conflicting licenses.
Liming Chen +4 more
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Forward-backward filtering and penalized least-Squares optimization: A Unified framework
Signal Processing, 2021Arman Kheirati Roonizi +1 more
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